A Note on Parabolic Difference Equations on Manifold

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Tarih

2022

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Yayıncı

American Institute of Physics Inc.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this work, we consider nonlocal boundary value problems for parabolic equations on manifold. We set up the first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle. For the solutions of the difference scheme, we establish the stability estimates and coercivity estimates in various Hölder norms for the solutions of such boundary value problems. Furthermore, numerical results are given. © 2022 American Institute of Physics Inc.. All rights reserved.

Açıklama

5th International Conference of Mathematical Sciences, ICMS 2021 -- 23 June 2021 through 27 June 2021 -- 184127

Anahtar Kelimeler

Difference equations on manifolds, difference schemes, self-adjoint positive definite operator, well-posedness

Kaynak

AIP Conference Proceedings

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

2483

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Künye